Heavy Oil Laminar Flow in Corrugated Ducts: A Numerical Study Using the Galerkin-Based Integral Method

Júnior, Valdecir Alves dos Santos; Neto, Severino Rodrigues de Farias; Lima, Antônio Gilson Barbosa de; Gomes, Igor Fernandes; Galvão, Israel Buriti; Franco, Célia Maria Rufino; Carmo, João Evangelista Franco do

doi:10.3390/en13061363

Cited by 6 publications

(3 citation statements)

References 15 publications

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“…Detailed information on this procedure can be found in earlier papers by the authors [15,34,35,37] and in a broad literature timeframe [38][39][40][41]. This time, we put special emphasis on the construction of the basis functions Bi , which have a direct dependence on the local approximants.…”

Section: Generalitiesmentioning

confidence: 99%

Irregularly-bounded cross sections’ shape factors from high-order piecewise-polynomials

Júnior

Oliveira

2023

Preprint

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In a two-dimensional domain, bounded cross-sections are interpretable from the generalized concept of “aperture” and embrace uncountable applications. Shapefactors for apertures confined by irregular boundaries are much less known than regular ones. Besides, they are poorly estimated due to restrictions in experimental measurements of underlying properties and do not have immediate determination. An example is the estimation of the Kozeny constant in models derived from the classical Kozeny-Carman equation. This paper presents a numerical Galerkinbasedintegral (GBI) model that computes shape factors for apertures confined by arbitrary boundaries, thus filling a knowledge gap regarding shape factor determination. The technique relies on two underlying pillars: accurate boundary reconstruction by high-order piecewise polynomials and shape factor recovery using the Poiseuille number. The GBI technique treats the fluid flow as fully developed under the laminar regime, thus allowing a reasonable comprehension of the cross-sectional dynamics. Our study stands on realistic apertures modeled from rock core samples and is additive to understanding transport mechanisms in fractured media. The outcomes are specifically helpful for people who deal with fluid injection of any kind and need to compute shape factors for ducts, fissures, or cracks, either for biotechnology, engineering, or medical applications.

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Section: Generalitiesmentioning

confidence: 99%

Irregularly-bounded cross sections’ shape factors from high-order piecewise-polynomials

Júnior

Oliveira

2023

Preprint

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“…The Galerkin-based integral (GBI) method is chosen because of the ease mathematical treatment for obtain the base functions that make up the solution to the problem is obtained. This method has its good applicability in the analysis of flow in straight ducts with arbitrary geometry [11][12][13][14][15][16], mathematical analysis [17], mechanics, thermodynamics and hydrodynamics [18][19][20][21], in the field of differential equations [22,23], and also in other engineering fields [24,25].…”

Section: Introductionmentioning

confidence: 99%

Heat Transfer and Fluid Flow in Concentric Annular Ducts Using the Galerkin-Based Integral Method: A Numerical Study

Júnior

Neto

Lima

2022

DFMA

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In this paper, we cope with the problem of presents a numerical analysis for heat transfer in a duct with geometry circular annular elliptical using the Galerkin-based integral method. The analysis is performed for different geometries of the duct (circular annular circular and circular annular elliptical), and the method is validated for circular cylindrical geometry. Parameters such as mean temperature and mean and location Nusselt numbers for two boundary conditions: constant wall temperature and axial constant heat flux in the wall with constant wall temperature are presented and analyzed.

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“…In many cases involving fluid flows in geothermal applications and petroleum industries, pipe flow is probably the most studied problem. Alves dos Santos Júnior et al [2] look at the fully developed laminar flow of a fluid through a corrugated cylindrical duct using the Galerkin-based integral method. They consider a heavy oil with a relative density of 0.9648 (14.6 • API) and temperature-dependent viscosities ranging from 1715 to 13,000 cP.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling of Fluid Flow and Heat Transfer in Petroleum Industries and Geothermal Applications 2020

Massoudi

2021

Energies

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In this Special Issue, all aspects of fluid flow and heat transfer in geothermal applications, including the ground heat exchanger, conduction, and convection in porous media, are considered. The emphasis here is on mathematical and computational aspects of fluid flow in conventional and unconventional reservoirs, geothermal engineering, fluid flow and heat transfer in drilling engineering, and enhanced oil recovery (hydraulic fracturing, steam-assisted gravity drainage (SAGD), CO2 injection, etc.) applications.

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Heavy Oil Laminar Flow in Corrugated Ducts: A Numerical Study Using the Galerkin-Based Integral Method

Cited by 6 publications

References 15 publications

Irregularly-bounded cross sections’ shape factors from high-order piecewise-polynomials

Irregularly-bounded cross sections’ shape factors from high-order piecewise-polynomials

Heat Transfer and Fluid Flow in Concentric Annular Ducts Using the Galerkin-Based Integral Method: A Numerical Study

Mathematical Modeling of Fluid Flow and Heat Transfer in Petroleum Industries and Geothermal Applications 2020

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